Find the LCM of 568, 451, 612, 486, 594 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 568, 451, 612, 486, 594. So, keep reading to learn more.
Given numbers are 568,451,612,486,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,451,612,486,594 is 1058230008.
Find LCM of 568,451,612,486,594 with Prime Factorization
2 | 568, 451, 612, 486, 594 |
2 | 284, 451, 306, 243, 297 |
3 | 142, 451, 153, 243, 297 |
3 | 142, 451, 51, 81, 99 |
3 | 142, 451, 17, 27, 33 |
11 | 142, 451, 17, 9, 11 |
142, 41, 17, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 142 x 41 x 17 x 9 x 1 = 1058230008
Therefore, the lowest common multiple of 568,451,612,486,594 is 1058230008.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
568 x 451 x 612 x 486 x 594 = 45258380982144
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
568 : 1, 2, 4, 8, 71, 142, 284, 568
451 : 1, 11, 41, 451
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,451,612,486,594, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
451:11x 41
612:2x 2x 3x 3x 17
486:2x 3x 3x 3x 3x 3
594:2x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 3x 3x 11 = 42768
Therefore, the value for common factors is 42768.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 45258380982144/(1x42768)
LCM = 45258380982144/42768
LCM = 1058230008
Thus, we can understand that the LCM of 568,451,612,486,594 is 1058230008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 451, 612, 486, 594?
Answer: LCM of 568, 451, 612, 486, 594 is 1058230008.
2. How to calculate the LCM of 568, 451, 612, 486, 594?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 568, 451, 612, 486, 594.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.